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Chapter 9: Q. 2 (page 536)

You are testing that the mean speed of your cable Internet connection is more than three Megabits per second. State the null and alternative hypotheses.

Short Answer

Expert verified

渭鈮�3 is the null hypothesis and渭>3 is an alternate hypothesis.

Step by step solution

01

Introduction

A hypothesis is a solution for a phenomenon that has been proposed.

The scientific process requires that a hypothesis be tested before it will be termed a scientific hypothesis.

Technical hypotheses are frequently based on evidence from the past that can't be explained by modern scientific theory.

02

Explanation

The average speed of a cable Internet connection is more than three Megabits per second, according to our tests.

As a result, hypothesis of null is:

H0Cable Internet connection average speed is less than or equal to three Megabits per second.

The hypothesis of alternative is:

HaCable Internet connections often have a speed of more than three Megabits per second.

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Most popular questions from this chapter

The mean age of graduate students at a University is at most 31years with a standard deviation of two years. A random sample of 15graduate students is taken. The sample mean is 32years and the sample standard deviation is three years. Are the data significant at the 1% level? The p-value is 0.0264. State the null and alternative hypotheses and interpret the p-value

The US Department of Energy reported that 51.7% of homes were heated by natural gas. A random sample of 221homes in Kentucky found that 115 were heated by natural gas. Does the evidence support the claim for Kentucky at the 伪=0.05 level in Kentucky? Are the results applicable across the country? Why?

A teacher believes that 85%of students in the class will want to go on a field trip to the local zoo. She performs a hypothesis test to determine if the percentage is the same or different from 85%. The teacher samples 50students and 39reply that they would want to go to the zoo. For the hypothesis test, use a 1%level of significance.

First, determine what type of test this is, set up the hypothesis test, find the p-value, sketch the graph, and state your conclusion.

You are testing that the mean speed of your cable Internet connection is more than three Megabits per second. What is the random variable? Describe in words.

Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Conduct a hypothesis test. At a significance level of a = 0.05, what is the correct conclusion?

a. There is enough evidence to conclude that the mean number of hours is more than 4.75

b. There is enough evidence to conclude that the mean number of hours is more than 4.5

c. There is not enough evidence to conclude that the mean number of hours is more than 4.5

d. There is not enough evidence to conclude that the mean number of hours is more than 4.75
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